This paper shows that emerging spatial curvature is a generic feature of
relativistic inhomogeneous models of the large-scale universe. This phenomenon
is absent in the Standard Cosmological Model, which has a flat and fixed
spatial curvature (small perturbations are considered in the Standard
Cosmological Model but their global average vanishes, leading to spatial
flatness at all times). This paper shows that with the nonlinear growth of
cosmic structures the global average deviates from zero. The analysis is based
on the {\em silent universes} (a wide class of inhomogeneous cosmological
solutions of the Einstein equations) interwoven into the Styrofoam-type
configuration. The initial conditions are set in the early universe as
perturbations around the $\Lambda$CDM model with $\Omega_m = 0.31$,
$\Omega_\Lambda = 0.69$, and $H_0 = 67.8$ km s$^{-1}$ Mpc$^{-1}$. As the growth
of structures becomes nonlinear, the model deviates from the $\Lambda$CDM
model, and at the present instant if averaged over a domain with mass $M = 3.2
\times 10^{20} M_{\odot}$ and volume $V = (2150\,{\rm Mpc})^3$ (at these scales
the cosmic variance is negligibly small) gives: $\Omega_m^{\cal D} = 0.22$,
$\Omega_\Lambda^{\cal D} = 0.61$, $\Omega_{\cal R}^{\cal D} = 0.15$ (in the
FLRW limit $\Omega_{\cal R}^{\cal D} \to \Omega_k$), and $\langle H
\rangle_{\cal D} = 72.2$ km s$^{-1}$ Mpc$^{-1}$. Given the fact that
low-redshift observations favor higher values of the Hubble constant and lower
values of matter density, compared to the CMB constraints, the emergence of the
spatial curvature in the low-redshift universe could be an obvious solution to
these discrepancies.